Titlebook: Operational Semantics for Timed Systems; A Non-standard Appro Heinrich Rust Book 2005 Springer-Verlag Berlin Heidelberg 2005 abstract state

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/o/image/702041.jpg

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https://doi.org/10.1007/978-3-540-32008-1abstract state machines; algorithms; continuous time systems; discrete time systems; hybrid systems; mode

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Overviewe real numbers. This allows to use a discrete base formalism for the description of timed algorithms where system behaviors can be interpreted very straightforwardly in a timed manner without sacrificing that much precision.

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Infinitesimalsning of the calculus. Robinson [Rob96] gives an overview of the use of infinitesimals in the history of the calculus: Leibniz uses infinitely small numbers in the development of the calculus without admitting their existence; he considers them to be useful fictions. De l’Hospital seemed to believe i

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